%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:47:10 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 114 ( 9 avg)
% Number of connectives : 278 ( 95 ~; 129 |; 45 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel17,conjecture,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel17) ).
fof(c0,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
inference(assume_negation,[status(cth)],[pel17]) ).
fof(c1,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
( ( ( p
& ( ~ q
| r )
& ~ s )
| ( p
& ~ q
& ~ s )
| ( p
& r
& ~ s ) )
& ( ~ p
| ( q
& ~ r )
| s
| ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
( ( p
| p
| p )
& ( p
| p
| r )
& ( p
| p
| ~ s )
& ( p
| ~ q
| p )
& ( p
| ~ q
| r )
& ( p
| ~ q
| ~ s )
& ( p
| ~ s
| p )
& ( p
| ~ s
| r )
& ( p
| ~ s
| ~ s )
& ( ~ q
| r
| p
| p )
& ( ~ q
| r
| p
| r )
& ( ~ q
| r
| p
| ~ s )
& ( ~ q
| r
| ~ q
| p )
& ( ~ q
| r
| ~ q
| r )
& ( ~ q
| r
| ~ q
| ~ s )
& ( ~ q
| r
| ~ s
| p )
& ( ~ q
| r
| ~ s
| r )
& ( ~ q
| r
| ~ s
| ~ s )
& ( ~ s
| p
| p )
& ( ~ s
| p
| r )
& ( ~ s
| p
| ~ s )
& ( ~ s
| ~ q
| p )
& ( ~ s
| ~ q
| r )
& ( ~ s
| ~ q
| ~ s )
& ( ~ s
| ~ s
| p )
& ( ~ s
| ~ s
| r )
& ( ~ s
| ~ s
| ~ s )
& ( ~ p
| q
| s
| ~ p
| q
| s )
& ( ~ p
| q
| s
| ~ p
| ~ r
| s )
& ( ~ p
| ~ r
| s
| ~ p
| q
| s )
& ( ~ p
| ~ r
| s
| ~ p
| ~ r
| s ) ),
inference(distribute,[status(thm)],[c2]) ).
cnf(c30,negated_conjecture,
( ~ s
| ~ s
| ~ s ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c40,plain,
~ s,
inference(factor,[status(thm)],[c30]) ).
cnf(c4,negated_conjecture,
( p
| p
| p ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c35,plain,
p,
inference(factor,[status(thm)],[c4]) ).
cnf(c17,negated_conjecture,
( ~ q
| r
| ~ q
| r ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c42,plain,
( ~ q
| r ),
inference(factor,[status(thm)],[c17]) ).
cnf(c31,negated_conjecture,
( ~ p
| q
| s
| ~ p
| q
| s ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c43,plain,
( ~ p
| q
| s ),
inference(factor,[status(thm)],[c31]) ).
cnf(c45,plain,
( q
| s ),
inference(resolution,[status(thm)],[c43,c35]) ).
cnf(c47,plain,
q,
inference(resolution,[status(thm)],[c45,c40]) ).
cnf(c48,plain,
r,
inference(resolution,[status(thm)],[c47,c42]) ).
cnf(c34,negated_conjecture,
( ~ p
| ~ r
| s
| ~ p
| ~ r
| s ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c49,plain,
( ~ p
| ~ r
| s ),
inference(factor,[status(thm)],[c34]) ).
cnf(c51,plain,
( ~ p
| s ),
inference(resolution,[status(thm)],[c49,c48]) ).
cnf(c52,plain,
s,
inference(resolution,[status(thm)],[c51,c35]) ).
cnf(c53,plain,
$false,
inference(resolution,[status(thm)],[c52,c40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 20:31:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % Version: 1.5
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
% 0.20/0.52
% 0.20/0.52 % Initial clauses : 31
% 0.20/0.52 % Processed clauses : 20
% 0.20/0.52 % Factors computed : 10
% 0.20/0.52 % Resolvents computed: 9
% 0.20/0.52 % Tautologies deleted: 0
% 0.20/0.52 % Forward subsumed : 29
% 0.20/0.52 % Backward subsumed : 15
% 0.20/0.52 % -------- CPU Time ---------
% 0.20/0.52 % User time : 0.166 s
% 0.20/0.52 % System time : 0.012 s
% 0.20/0.52 % Total time : 0.178 s
%------------------------------------------------------------------------------